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Effects of charge doping a Mott insulator with strong spin-orbit coupling

Erick Garcia, Paola Caterina Forino, Rong Cong +7 more

Bulletin of the American Physical SocietyMar 16, 20210 citations

Exotic Physics from Doping a Strongly Spin-Orbit Coupled Mott Insulator

Yue Cao

Bulletin of the American Physical SocietyMar 18, 20130 citations

Renewed Understanding on Doped Mott Insulators

Masatoshi Imada

Bulletin of the American Physical SocietyMar 25, 20110 citations

Absence of Asymptotic Freedom in Doped Mott Insulators: Breakdown of Strong Coupling Expansions

Philip Phillips, Dimitrios Galanakis, Tudor D. Stanescu

We show that doped Mott insulators such as the copper-oxide superconductors are asymptotically slaved in that the quasiparticle weight Z near half-filling depends critically on the existence of the high-energy scale set by the upper Hubbard band. In particular, near half-filling, the following dichotomy arises: Z not equal to 0 when the high-energy scale is integrated out but Z=0 in the thermodynamic limit when it is retained. Slavery to the high-energy scale arises from quantum interference between electronic excitations across the Mott gap. Broad spectral features seen in photoemission in the normal state of the cuprates are argued to arise from high-energy slavery.We show that doped Mott insulators such as the copper-oxide superconductors are asymptotically slaved in that the quasiparticle weight Z near half-filling depends critically on the existence of the high-energy scale set by the upper Hubbard band. In particular, near half-filling, the following dichotomy arises: Z not equal to 0 when the high-energy scale is integrated out but Z=0 in the thermodynamic limit when it is retained. Slavery to the high-energy scale arises from quantum interference between electronic excitations across the Mott gap. Broad spectral features seen in photoemission in the normal state of the cuprates are argued to arise from high-energy slavery.

arXiv:cond-mat/0312615Physical Review LettersDec 21, 200421 citations

A wave function description of doped Mott insulators

Zheng-Yu Weng, Y. L. Zhou, V. N. Muthukumar

Feb 25, 20050 citations

Theory of the Luttinger surface in doped Mott insulators

Tudor D. Stanescu, Philip Phillips, Ting-Pong Choy

We prove that the Mott insulating state is characterized by a divergence of the electron self-energy at well-defined values of momenta in the first Brillouin zone. When particle-hole symmetry is present, the divergence obtains at the momenta of the Fermi surface for the corresponding noninteracting system. Such a divergence gives rise to a surface of zeros (the Luttinger surface) of the single-particle Green function and offers a single unifying principle of Mottness from which pseudogap phenomena, spectral weight transfer, and broad spectral features emerge in doped Mott insulators. We also show that only when particle-hole symmetry is present does the volume of the zero surface equal the particle density. We identify that the general breakdown of Luttinger's theorem in a Mott insulator arises from the breakdown of a perturbative expansion for the self-energy in the single-particle Green function around the noninteracting limit. A modified version of Luttinger's theorem is derived for special cases.We prove that the Mott insulating state is characterized by a divergence of the electron self-energy at well-defined values of momenta in the first Brillouin zone. When particle-hole symmetry is present, the divergence obtains at the momenta of the Fermi surface for the corresponding noninteracting system. Such a divergence gives rise to a surface of zeros (the Luttinger surface) of the single-particle Green function and offers a single unifying principle of Mottness from which pseudogap phenomena, spectral weight transfer, and broad spectral features emerge in doped Mott insulators. We also show that only when particle-hole symmetry is present does the volume of the zero surface equal the particle density. We identify that the general breakdown of Luttinger's theorem in a Mott insulator arises from the breakdown of a perturbative expansion for the self-energy in the single-particle Green function around the noninteracting limit. A modified version of Luttinger's theorem is derived for special cases.

arXiv:cond-mat/0602280Physical Review BMar 6, 200769 citations

Breakdown of Strong Coupling Expansions for doped Mott Insulators

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Breakdown of Strong Coupling Expansions for doped Mott Insulators

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